Daily Practice · Higher

Daily Practice - Higher

Grades 6-7 - Higher-tier method and manipulation.

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6th August 2022

5 questions · 14 marks · Grades 6-7 · 61 question types in this band

  1. 1
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to x^2. When x = 5, y = 50. Work out y when x = 6.

  2. 2
    SOHCAHTOA (Trigonometry)3 marks

    A right-angled triangle has a hypotenuse of 10 cm and an angle of 28°. Work out the side adjacent to that angle, to 1 decimal place.

  3. 3
    Probability Trees3 marks

    2 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.

  4. 4
    Box Plots2 marks

    A box plot has minimum 1, lower quartile 5, median 10, upper quartile 19 and maximum 29. Work out the interquartile range.

  5. 5
    Fractional and Negative Indices3 marks

    Work out 64^(2/3).

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